If using the method of completing the square to solve the quadratic equation
x? + 15x + 25 = 0, which number would have to be added to "complete the
square"?
Answers
Answer:
31.25
Step-by-step explanation:
The general form of a complete square would be (x + a)^2 + b
Given an equation of X^2 + 15X + 25 = 0,
the idea is to reduce it into the form if (X + C)^2
which can be expanded into X^2 + 2XC + C^2
In this case 15 will be our 2C So our c will be 7.5.
Substituting in these numbers,
We have X^2 + 15X + (7.5)^2 = 0
However our original equation has 25 for its C^2, thus
we need to add 31.25 in order to get (7.5)^2
FYI
The final completed form will be (X + 7.5)^2 - 31.25
Related Questions
HELP please :)!!!!!!!!!!!!!!!!!!!!!!!!!!!!!asap
Answers
Answer:
B
Step-by-step explanation:
7100-3100
not sure though
Karim began his day by drinking 1 1/8
cups of milk at breakfast. By the end of the day, he drank a total of 2 2/3
cups of milk.
Which equation and solution correctly represent the amount of milk in cups, m , Karim drank after breakfast?
Answers
Answer:
A. 1⅛ + m = 2⅔
[tex] m = 1\frac{13}{24} [/tex]
Step-by-step explanation:
Cups of milk at breakfast = 1⅛
Cups of milk after breakfast = m
Total cups of milk by the end of the day = 2⅔
Thus:
Total cups of milk by the end of the day = cups of milk at breakfast + cups of drink after breakfast
Therefore:
1⅛ + m = 2⅔ (equation)
Solve for m
Subtract 1⅛ from each side
m = 2⅔ - 1⅛
Convert to improper fraction
m = 8/3 - 9/8
m = (64 - 27)/24 = 37/24
[tex] m = 1\frac{13}{24} [/tex]
Enter the area of the triangle in square meters.Round your answer to the nearest hundredth.
Answers
Answer:
6.24
Step-by-step explanation:
To find the area of the triangle, it is base times height divided by 2 after you multiply. Height is 90 degrees from base so remember that.
In this example, do (2.6 x 4.8)/2
Equals 6.24
Use the Distributive Property to
REWRITE 6x(2y - 4x + 1)
Answers
Answer:
−24x2+12xy+6x
Step-by-step explanation:
6x(2y−4x+1)
=(6x)(2y+−4x+1)
=(6x)(2y)+(6x)(−4x)+(6x)(1)
=12xy−24x2+6x
whats anothor name
for eq
Answers
Please help me I’m getting timed
Answers
Answer:
C
Step-by-step explanation:
or the third down from the top. Count the sides and multiply by how many layers
J.V. Lin is an Olympic athlete competing in the women's javelin throw. The distances of her successful throws (in meters) are normally distributed with mean distance 60 meters and standard deviation 4 meters. (Round to the nearest percent and enter each of your answers as a whole number between 0 and 100.) (a) (2 points) What is the probability that on her first throw, J.v. Lin beats her mean distance? probability = ________%(b) (3 points) The current leader in the Olympics finals has thrown a distance of 66.5 meters. J.V. Lin has one attempt left to beat the leader's throw. What's the probability that Lin beats this throw? probability _______%
Answers
Answer:
a) 50%
b) 5%
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Normally distributed with mean distance 60 meters and standard deviation 4 meters.
This means that [tex]\mu = 60, \sigma = 4[/tex]
(a) (2 points) What is the probability that on her first throw, J.v. Lin beats her mean distance?
This is, as a proportion, 1 subtracted by the pvalue of Z when X = 60. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{60 - 60}{4}[/tex]
[tex]Z = 0[/tex]
[tex]Z = 0[/tex] has a pvalue of 0.5
1 - 0.5 = 0.5
0.5*100% = 50%
50% probability.
(b) (3 points) The current leader in the Olympics finals has thrown a distance of 66.5 meters. J.V. Lin has one attempt left to beat the leader's throw. What's the probability that Lin beats this throw?
This is 1 subtracted by the pvalue of Z when X = 66.5. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{66.5 - 60}{4}[/tex]
[tex]Z = 1.63[/tex]
[tex]Z = 1.63[/tex] has a pvalue of 0.95
1 - 0.95 = 0.05
0.05*100% = 5%
5% probability.
y= 2x-3
y=-x+9
solve the system of linear equations by graphing
Answers
Answer:
x=4 or -4
y=5
Step-by-step explanation:
2x-3=x+9
=3x=12
=x=12/3
x=4( could also be -4)
y=(4x2)-3
y=5
What is 6 less than a number t is 7?
Answers
Answer:
t-6=7
Step-by-step explanation:
Answer:
6-t=7
Step-by-step explanation:
Use the formula C = 5 over 9(F - 32) to write 126° F as degrees Celsius, round to the nearest tenth.
Answers
hello can someone help me with this please
Answers
Answer: 0.01369863 times per gold
Step-by-step explanation:
convert to a decimal by dividing the numberator by the denominator
I need help. correct answer gets brainliest
Answers
Answer:
can you zoom in on it
Step-by-step explanation:
Daniela painted a photo that was 4/5 afoot by 1 7/8 of afoot. What was the area?
Answers
Answer:
[tex]\frac{3}{2}[/tex] square feet
Step-by-step explanation:
The dimensions of the photo is 4/5 by 1 7/8 of a foot.
But,
1 7/8 = [tex]\frac{15}{8}[/tex] feet
So that,
length of the photo = [tex]\frac{15}{8}[/tex] feet
width of the photo = [tex]\frac{4}{5}[/tex] feet
The area of the photo = length x width
= [tex]\frac{15}{8}[/tex] x [tex]\frac{4}{5}[/tex]
= [tex]\frac{60}{40}[/tex]
= [tex]\frac{3}{2}[/tex]
Area of the painted photo is [tex]\frac{3}{2}[/tex] square feet.
Liliana used 4 dark power crystals to raise 14 zombie soldiers. She wants to know how many zombie soldiers (z) left parenthesis, z, right parenthesis she can raise with 10 dark power crystals.
Answers
Answer:
So.. Liliana used 4 crystals to race 14 zombie soldiers.
14 / 4 = 3.5. She can race 3.5 zombie soldiers if she uses 1 crystal. So, all you need to do it multiply 3.5 by 10 and you end up with 35.
So, Liliana is able to race 35 zombie soldiers with 10 power crystals.
Glad I could help!
Step-by-step explanation:
Ms. Grayson has budgeted $6500 for a computer lab in her school.
Each new computer costs $750, and each new computer table costs
$60. If Ms. Grayson buys 8 new computers, which inequality can be
used to find t, the number of new tables she can buy?
A. 8(750 + 60) s 6500
B. 8(750t) + 60 S 6500
C. 750 + 60t s 6500
D. 8(750) + 60t s 6500
Answers
Answer:
c.750+60t s6500
this is the correct one
Jason grew from 36 inches to 40 inches in 1 year. By percent did his growth increase? Round your answer off to the nearest tenths!
Please show how
Answers
Answer:
i do not know
Step-by-step explanation:
Find the 96th term of the arithmetic sequence-30,-32,34
Answers
Answer:
a = -30
d = -32 - (-30) = -2
n = 96
So, using A.P. formula-
Tn = a + (n-1) d
T96 = -30 + (96-1) -2
T96 = -30 + (95) -2
T96 = -30 - 190
T96 = -220
plz mark as brainliest
4+4????????/??????//?? PLEASESESERK ALKSDJFKLASDF ASLKDJ FAJSDFJASDJF AJSDF
Answers
Answer:
8
Step-by-step explanation:
❤❤❤❤❤❤❤❤❤❤❤❤❤
Have a great day ❤
Answer:
8
Step-by-step explanation:
YOU'REWELCOMEADFHTGHEFGREEWJUIFGYREHFBNCNBASDFHJLKJHGFDS
HELP FAST!!!!!
Which of the following expressions is equivalent to 6^-7
A: 1/(-6)^-7
B: 1/6^7
C: (-6)^-7
D: 1/6^-7
Answers
Answer:
B. ) 6^-7 = 1/6^7
Step-by-step explanation:
B.) is the only correct one
does a/9=25 i dont know
Answers
Answer:
225
Step-by-step explanation:
225 ÷ 9 =25
225/9= 25
a=25
1. There are 15 students in the art club. They all purchased 4 paintbrushes at $3 each. How many paintbrushes did they purchase?
Answers
Answer:
60?
Step-by-step explanation:
Answer:
60
Step-by-step explanation:
15x4 equals 60
the question is in the picture!!
Answers
9514 1404 393
Answer:
(b) ... because of the AA similarity postulate
Step-by-step explanation:
The problem statement tells you that you are showing ∠F≅∠C. We already know that ∠A≅∠D, because they are both marked as right angles. Thus the given mapping results in two of the three angles being shown congruent, allowing you to conclude ...
ΔABC ~ ΔDEF because of the AA similarity postulate . . . . choice B
Does anyone have an answer or can help
Answers
Answer:
set them equal to each other and solve for x
Step-by-step explanation:
Given that a = 1, b = 2, and C = -3, evaluate
ab²- ac²/ 2bc
Answers
Answer:
5/12
pls Mark as brainliest
Umm I am sooooo confused what is the shape called pls pls pls help!!!!
Answers
Answer:
its a pentagon thoses have five sides
Step-by-step explanation:
Try to answer asap please
Answers
Answer:
it is 10in.
Step-by-step explanation:
Pleaseeeeee helppppp
Answers
Answer:
539 cubed for the volume, and the base could be either 77 or 49 squared.
Step-by-step explanation:
7x7x11= 539
7x7 is 49
7x11 equals 77
write the ordered pair for each point. PLS! I will give 20 points did correct same goes with brainliest. DO NOT TYPE THAT YOU DON'T KNOW OR I WILL FLAG, REPORT AND GET MAD!
Answers
Answer:
M=(0.75,1.25)
H=(-1.5,-0.5)
D=(1,-1.75)
Step-by-step explanation:
Hope this helps.
Whoopy what a day! 6+6
Answers
Answer:
Yes, indeed. 12 :)
Step-by-step explanation:
Answer:
im viry smort soda ansr iz 21
also fluffy milk horse to brighten everyones day (unless you have a fear of cows, then im sorry)
what operation do you use to convert from a larger measurement unit to a smaller measurement unit?explain why.
Answers
Answer:
Multiplication
Step-by-step explanation:
To convert from a larger unit to a smaller unit, we multiply. This is because the number will become greater since the unit is smaller.
Example:
1 m ⇒ ×100 ⇒ 100 cm
We use division when converting from a smaller unit to a larger unit since the number will become smaller as the unit becomes greater.
Example:
100 cm ⇒ ÷100 ⇒ 1 m
I hope this helps!